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Finding the Fourth Proportional to 262,604.16, 393,906.24 and 209,766.24

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Solution

The fourth proportional to 262,604.16, 393,906.24 and 209,766.24 is: 314,649.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,604.16 : 393,906.24 = 209,766.24 : x
  2. Step 2: Convert to fraction form
    262,604.16/393,906.24 = 209,766.24/x
  3. Step 3: Cross multiply
    262,604.16x = 393,906.24 × 209,766.24
  4. Step 4: Simplify right side
    262,604.16x = 82,628,230,877.34
  5. Step 5: Solve for x
    x = 82,628,230,877.34/262,604.16
  6. Step 6: Final answer
    x = 314,649.36

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.